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Finding the Fourth Proportional to 223.74, 309.25 and 197.33

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Solution

The fourth proportional to 223.74, 309.25 and 197.33 is: 272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.74 : 309.25 = 197.33 : x
  2. Step 2: Convert to fraction form
    223.74/309.25 = 197.33/x
  3. Step 3: Cross multiply
    223.74x = 309.25 × 197.33
  4. Step 4: Simplify right side
    223.74x = 61,023.00
  5. Step 5: Solve for x
    x = 61,023.00/223.74
  6. Step 6: Final answer
    x = 272.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.